5-1 Midsegments of Triangles

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5-1 Midsegments of Triangles
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Midsegment

• The midsegment of a triangle is a segment
  connecting the midpoints of two sides of the
  triangle.
• Triangle Midsegment Theorem If a segment joins
  the midpoints of two sides of a triangle, then
  the segment is parallel to the third side and
  half as long.

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Identifying Parallel Segments

• ?What are the three pairs of parallel segments in
  ?DEF?

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Finding Lengths

• In ?QRS, T, U, and B are midpoints. What are the
  lengths of TU, UB, and QR?

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?In the figure below, AD 6 and DE
7.5. What are the lengths of DC, AC, EF, and
AB?
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Using Midpoints to Draw a Triangle

• The midpoints of the sides of a triangle are
  L(4, 2), M(2, 3), and N(5, 4). What are the
  coordinates of the vertices of the triangle?